Stabilization bound of discrete singularly perturbed systems subject to actuator saturation

2014 ◽  
Author(s):  
Lei Ma ◽  
Qi Wang ◽  
Chunyu Yang ◽  
Xiaoping Ma
Keyword(s):  
Actuator Saturation ◽  
Singularly Perturbed ◽  
Singularly Perturbed Systems ◽  
Perturbed Systems

scholarly journals Fast Sampling Control of Singularly Perturbed Systems with Actuator Saturation andL2Disturbance

2015 ◽  
Vol 2015 ◽  
pp. 1-11 ◽  
Author(s):  
Yanzi Miao ◽  
Lei Ma ◽  
Xiaoping Ma ◽  
Linna Zhou
Keyword(s):  
Disturbance Rejection ◽  
State Feedback ◽  
Actuator Saturation ◽  
Optimization Problems ◽  
Perturbation Parameter ◽  
Singularly Perturbed ◽  
Singularly Perturbed Systems ◽  
Convex Optimization Problems ◽  
Perturbed Systems ◽  
Disturbance Tolerance

We will consider the problem of fast sampling control for singularly perturbed systems subject to actuator saturation andL2disturbance. A sufficient condition for the existence of a state feedback controller is proposed. Under this controller, the boundedness of the trajectories in the presence ofL2disturbances is guaranteed for any singular perturbation parameter less than or equal to a predefined upper bound. To improve the capacity of disturbance tolerance and disturbance rejection, two convex optimization problems are formulated. Finally, a numerical example is presented to demonstrate the effectiveness of the main results of this paper.

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